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Finding the Third Proportional to 1,559,815,703,223 and 3,396,544,716,558

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Solution

The third proportional to 1,559,815,703,223 and 3,396,544,716,558 is: 7,396,076,336,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,815,703,223 : 3,396,544,716,558 = 3,396,544,716,558 : x
  2. Step 2: Convert to fraction form
    1,559,815,703,223/3,396,544,716,558 = 3,396,544,716,558/x
  3. Step 3: Cross multiply
    1,559,815,703,223x = 3,396,544,716,558 × 3,396,544,716,558
  4. Step 4: Simplify right side
    1,559,815,703,223x = 11,536,516,011,578,063,874,686,976
  5. Step 5: Solve for x
    x = 11,536,516,011,578,063,874,686,976/1,559,815,703,223
  6. Step 6: Final answer
    x = 7,396,076,336,288.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.